Dirac Induction for loop groups
| Authors | |
|---|---|
| Publication date | 2011 |
| Journal | Letters in Mathematical Physics |
| Volume | Issue number | 95 | 1 |
| Pages (from-to) | 89-107 |
| Organisations |
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| Abstract |
Using a coset version of the cubic Dirac operators for affine Lie algebras, we give an algebraic construction of the Dirac induction homomorphism for loop group representations. With this, we prove a homogeneous generalization of the Weyl-Kac character formula and show compatibility with Dirac induction for compact Lie groups. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s11005-010-0453-x |
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